Cross-spectral density measurements in a coupled-core reactor

Solution of the space-time dependent neutron kinetics equations for a reflected slab reactor

“…The differ ence between these solutions and the 3-MC solution can be found in the fact that the 3-MC solution was obtained with trial functions which were coupled to fuel regions, while the other solutions were obtained with separate trial functions for the fuel region and the right reflector. The resonance effect which is obtained with the 7-M and 5-M solutions has been observed both experimentally(31) and analytically^(15) ^Betancourt, J.,'Ames, Iowa. Results obtained with the natural mode approximation.…”

Use of modal expansions for the determination of spatially dependent reactor transfer functions

“…where a(cm) is the exact location inside the reactor at which the disturbance is introduced. Substituting Equation 24 in Equation 23 and upon Laplace transforming one obtains the relation - The formalism of the natural-mode approach has been presented and discussed in detail by Kaplan (27). Therefore, the presentation in this section shall be brief and rather specific to the problem considered in this work; that is, the determination of the spatially dependent reactor transfer function.…”